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Finding the Fourth Proportional to 1,154.76, 1,728.49 and 824.63

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Solution

The fourth proportional to 1,154.76, 1,728.49 and 824.63 is: 1,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.76 : 1,728.49 = 824.63 : x
  2. Step 2: Convert to fraction form
    1,154.76/1,728.49 = 824.63/x
  3. Step 3: Cross multiply
    1,154.76x = 1,728.49 × 824.63
  4. Step 4: Simplify right side
    1,154.76x = 1,425,365.27
  5. Step 5: Solve for x
    x = 1,425,365.27/1,154.76
  6. Step 6: Final answer
    x = 1,234.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.